I have a Logitech Purefi Anywhere 2 and an Ipod Shuffle. I want to use the Ipod as an alarm, but the dock turns itself off as a power-saving feature and occasioanly doesn't turn on when the alarm starts. It also turns itself off when playing certain songs on my ipod (I know that's not a fault in the Ipod, I can play those easily when not connected to the dock). The alarm is the most pressing issue - I rely on that to get me up for work in the morning!

If it is a symbol that looks like ((o)) then it is the Stereo XL button. The quickstart guide on Logitechs website says "Logitech Pure-Fi Anywhere 2 includes a proprietary "Stereo XL" feature that dramatically widens the sound field. To turn Stereo XL on and off, use the ((o)) button on the remote" but the picture shows it on the stereo. Here's a link to the guide http://www.logitech.com/assets/34346/purefianywhere2-quickstart-guide.pdf.

Check to see whether your iPod shuffle is the original stick version or the newer version, which plugs into the iPod dock connector.

Turn your PC on.

The PC needs to be on to transfer music and charge the iPod shuffle.

Place the iPod shuffle in the iPod dock connector if you have the newer version.

If you're using the original version, then plug it directly into a high-power USB port on your PC.

Check the monitor to ensure iTunes has loaded.

This means a connection was established.

hope this helps

To charge the battery using your computer:
Connect iPod shuffle to a high-power USB port on your computer using the included iPod shuffle Dock. The computer must be turned on and not in sleep mode (some models of Macintosh can charge iPod shuffle while in sleep mode). When the battery is charging, the status light on iPod shuffle is orange. When the battery is fully charged, the status light turns green.
If you don't see the status light, iPod shuffle might not be connected to a high-power USB port. Try another USB port on your computer.

To charge the battery using an iPod USB Power Adapter If you do not have then you have to buy the same from Apple Store) 1 Connect the AC plug adapter to the power adapter (they might already be connected). 2 Plug the USB connector of the iPod shuffle Dock into the power adapter. 3 Plug the power adapter into a working electrical outlet. 4 Put iPod shuffle in the dock. You can disconnect and use iPod shuffle before it is fully charged.

phoned logitech today who have offered to replace the docking station free of charge as it was under warrenty.Will probably stick with them as a company
thanks for your offer of assistance will bear you in mind for a more complicated problem

Setting the Clock:
1. Press the SET Button 3 times until all digits for the main clock are flashing.
2. Press Skip forward and back to change the hour and Volume up and down to change the minutes.
3. Press the set button once to save.

Talked to both Apple and Logitech, and uploaded newest firmware ( had assumed since this was a recent purchase it had same), presto, it works.

this is obviously a power or connectivity issue, check that the device ( your ipod ) is correctly seated into the logitech speaker system, and check the power cables are connected according to the manual which came with the logitech speaker system. 
question u may ask yourself? - does the ipod work as it should on its own? (without non-apple devices/components attached to it) - if it doesnt - take to an apple store or call or seek apple support. 
it sounds like your ipod is low on power from source.
i hope this directs you in the right direction, party on!

I bought an Ipod shuffle 2nd generation yesterday, it charged all night and orange light was still blinking. Tried listening to songs and sometimes it would play but most times wouldn't. Took it back for exchange and same problem. Then I realized the problem is not with the USB plug or computer reoconizing ipod but in the docking itself. I applied pressure on the top side of docked Ipod and bottom of docking station and the computer recognized the Ipod. Release pressure and lose connection. The problem is that the docking station and earbuds do not connect with ipod and the fixes provided by apple doesn't address or fix this problem.

www.maplin.com has a DIY battery replacement kit.